\[4,8,14\]

Method 1: By Listing Factors
1
List the factors of each number.
Factors of 4
: 1, 2, 4
Factors of 8
: 1, 2, 4, 8
Factors of 14
: 1, 2, 7, 14
2
Find the largest number that is shared by all rows above. This is the GCF.
GCF = 22

Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
Prime Factors of 14
: 2, 7
2
Find the intersection of these primes.
22

3
The intersection contains only one number. Therefore, this is the GCF.
GCF = 22

Done

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